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Finding the Fourth Proportional to 6,505.18, 8,974.74 and 4,268.29

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Solution

The fourth proportional to 6,505.18, 8,974.74 and 4,268.29 is: 5,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.18 : 8,974.74 = 4,268.29 : x
  2. Step 2: Convert to fraction form
    6,505.18/8,974.74 = 4,268.29/x
  3. Step 3: Cross multiply
    6,505.18x = 8,974.74 × 4,268.29
  4. Step 4: Simplify right side
    6,505.18x = 38,306,815.43
  5. Step 5: Solve for x
    x = 38,306,815.43/6,505.18
  6. Step 6: Final answer
    x = 5,888.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.